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163145232 = 24334161151
BaseRepresentation
bin10011011100101…
…10011000010000
3102100222122012000
421232112120100
5313231121412
624104434000
74020466035
oct1156263020
9370878160
10163145232
1184100478
1246778900
1327a52253
141794b38c
15e4c94dc
hex9b96610

163145232 has 160 divisors (see below), whose sum is σ = 490801920. Its totient is φ = 51840000.

The previous prime is 163145221. The next prime is 163145249. The reversal of 163145232 is 232541361.

163145232 is a `hidden beast` number, since 1 + 631 + 4 + 5 + 23 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

Its product of digits (4320) is a multiple of the sum of its prime factors (270).

It is a junction number, because it is equal to n+sod(n) for n = 163145196 and 163145205.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1080357 + ... + 1080507.

It is an arithmetic number, because the mean of its divisors is an integer number (3067512).

Almost surely, 2163145232 is an apocalyptic number.

163145232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 163145232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245400960).

163145232 is an abundant number, since it is smaller than the sum of its proper divisors (327656688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

163145232 is a wasteful number, since it uses less digits than its factorization.

163145232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 163145232 is about 12772.8317925196. The cubic root of 163145232 is about 546.4177457514.

Adding to 163145232 its reverse (232541361), we get a palindrome (395686593).

The spelling of 163145232 in words is "one hundred sixty-three million, one hundred forty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 61 72 82 108 122 123 144 151 164 183 216 244 246 302 328 366 369 432 453 488 492 549 604 656 732 738 906 976 984 1098 1107 1208 1359 1464 1476 1647 1812 1968 2196 2214 2416 2501 2718 2928 2952 3294 3624 4077 4392 4428 5002 5436 5904 6191 6588 7248 7503 8154 8784 8856 9211 10004 10872 12382 13176 15006 16308 17712 18422 18573 20008 21744 22509 24764 26352 27633 30012 32616 36844 37146 40016 45018 49528 55266 55719 60024 65232 67527 73688 74292 82899 90036 99056 110532 111438 120048 135054 147376 148584 165798 167157 180072 221064 222876 248697 270108 297168 331596 334314 360144 377651 442128 445752 497394 540216 663192 668628 755302 891504 994788 1080432 1132953 1326384 1337256 1510604 1989576 2265906 2674512 3021208 3398859 3979152 4531812 6042416 6797718 9063624 10196577 13595436 18127248 20393154 27190872 40786308 54381744 81572616 163145232